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Paper detail

Stable quasicrystalline ground states

We give a strong evidence that noncrystalline materials such as quasicrystals or incommensurate solids are not exceptions but rather are generic in some regions of a phase space. We show this by constructing classical lattice-gas models with translation-invariant, finite-range interactions and with a unique quasiperiodic ground state which is stable against small perturbations of two-body potentials. More generally, we provide a criterion for stability of nonperiodic ground states.

preprint1998arXivOpen access
Jacek Miekisz
cond-mat.stat-mech
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Jacek Miekisz

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